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Finding the Third Proportional to 231,626 and 367,067

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Solution

The third proportional to 231,626 and 367,067 is: 581,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,626 : 367,067 = 367,067 : x
  2. Step 2: Convert to fraction form
    231,626/367,067 = 367,067/x
  3. Step 3: Cross multiply
    231,626x = 367,067 × 367,067
  4. Step 4: Simplify right side
    231,626x = 134,738,182,489
  5. Step 5: Solve for x
    x = 134,738,182,489/231,626
  6. Step 6: Final answer
    x = 581,705.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.